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Finding the Fourth Proportional to 199.01, 298.49 and 90.75

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Solution

The fourth proportional to 199.01, 298.49 and 90.75 is: 136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.01 : 298.49 = 90.75 : x
  2. Step 2: Convert to fraction form
    199.01/298.49 = 90.75/x
  3. Step 3: Cross multiply
    199.01x = 298.49 × 90.75
  4. Step 4: Simplify right side
    199.01x = 27,087.51
  5. Step 5: Solve for x
    x = 27,087.51/199.01
  6. Step 6: Final answer
    x = 136.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.